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Free energy of non-convex multi-species spin glasses with centered Ising spins

Chen, Hong-Bin et al.
arXiv (All) · Papers
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disordered-systems-and-neural-networksmathematical-physicsprobability
We identify the limit free energy of all multi-species spin glasses with centered $\pm 1$ spins. The result was previously known only under a convexity assumption on the covariance function of the Hamiltonian. We also obtain a one-species reduction of the formula for balanced multi-species models.
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